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Finding the Third Proportional to 59,685.19 and 93,160.13

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Solution

The third proportional to 59,685.19 and 93,160.13 is: 145,409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,685.19 : 93,160.13 = 93,160.13 : x
  2. Step 2: Convert to fraction form
    59,685.19/93,160.13 = 93,160.13/x
  3. Step 3: Cross multiply
    59,685.19x = 93,160.13 × 93,160.13
  4. Step 4: Simplify right side
    59,685.19x = 8,678,808,890.02
  5. Step 5: Solve for x
    x = 8,678,808,890.02/59,685.19
  6. Step 6: Final answer
    x = 145,409.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.