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Finding the Third Proportional to 75,030 and 160,426.50

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Solution

The third proportional to 75,030 and 160,426.50 is: 343,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,030 : 160,426.50 = 160,426.50 : x
  2. Step 2: Convert to fraction form
    75,030/160,426.50 = 160,426.50/x
  3. Step 3: Cross multiply
    75,030x = 160,426.50 × 160,426.50
  4. Step 4: Simplify right side
    75,030x = 25,736,661,902.25
  5. Step 5: Solve for x
    x = 25,736,661,902.25/75,030
  6. Step 6: Final answer
    x = 343,018.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.