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Finding the Third Proportional to 42,001.03 and 90,681.71

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Solution

The third proportional to 42,001.03 and 90,681.71 is: 195,785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,001.03 : 90,681.71 = 90,681.71 : x
  2. Step 2: Convert to fraction form
    42,001.03/90,681.71 = 90,681.71/x
  3. Step 3: Cross multiply
    42,001.03x = 90,681.71 × 90,681.71
  4. Step 4: Simplify right side
    42,001.03x = 8,223,173,407.00
  5. Step 5: Solve for x
    x = 8,223,173,407.00/42,001.03
  6. Step 6: Final answer
    x = 195,785.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.