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Finding the Third Proportional to 63,865.13 and 96,681.94

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Solution

The third proportional to 63,865.13 and 96,681.94 is: 146,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,865.13 : 96,681.94 = 96,681.94 : x
  2. Step 2: Convert to fraction form
    63,865.13/96,681.94 = 96,681.94/x
  3. Step 3: Cross multiply
    63,865.13x = 96,681.94 × 96,681.94
  4. Step 4: Simplify right side
    63,865.13x = 9,347,397,038.75
  5. Step 5: Solve for x
    x = 9,347,397,038.75/63,865.13
  6. Step 6: Final answer
    x = 146,361.52

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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.