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Finding the Third Proportional to 72,970.88 and 93,241.13

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Solution

The third proportional to 72,970.88 and 93,241.13 is: 119,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,970.88 : 93,241.13 = 93,241.13 : x
  2. Step 2: Convert to fraction form
    72,970.88/93,241.13 = 93,241.13/x
  3. Step 3: Cross multiply
    72,970.88x = 93,241.13 × 93,241.13
  4. Step 4: Simplify right side
    72,970.88x = 8,693,907,391.27
  5. Step 5: Solve for x
    x = 8,693,907,391.27/72,970.88
  6. Step 6: Final answer
    x = 119,142.16

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.