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Finding the Third Proportional to 68,534 and 105,475.50

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Solution

The third proportional to 68,534 and 105,475.50 is: 162,329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,534 : 105,475.50 = 105,475.50 : x
  2. Step 2: Convert to fraction form
    68,534/105,475.50 = 105,475.50/x
  3. Step 3: Cross multiply
    68,534x = 105,475.50 × 105,475.50
  4. Step 4: Simplify right side
    68,534x = 11,125,081,100.25
  5. Step 5: Solve for x
    x = 11,125,081,100.25/68,534
  6. Step 6: Final answer
    x = 162,329.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.