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Finding the Third Proportional to 106,187.63 and 160,641.56

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Solution

The third proportional to 106,187.63 and 160,641.56 is: 243,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,187.63 : 160,641.56 = 160,641.56 : x
  2. Step 2: Convert to fraction form
    106,187.63/160,641.56 = 160,641.56/x
  3. Step 3: Cross multiply
    106,187.63x = 160,641.56 × 160,641.56
  4. Step 4: Simplify right side
    106,187.63x = 25,805,711,602.44
  5. Step 5: Solve for x
    x = 25,805,711,602.44/106,187.63
  6. Step 6: Final answer
    x = 243,019.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.