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Finding the Third Proportional to 65,070 and 98,425.13

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Solution

The third proportional to 65,070 and 98,425.13 is: 148,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,070 : 98,425.13 = 98,425.13 : x
  2. Step 2: Convert to fraction form
    65,070/98,425.13 = 98,425.13/x
  3. Step 3: Cross multiply
    65,070x = 98,425.13 × 98,425.13
  4. Step 4: Simplify right side
    65,070x = 9,687,505,231.27
  5. Step 5: Solve for x
    x = 9,687,505,231.27/65,070
  6. Step 6: Final answer
    x = 148,878.21

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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.