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Finding the Third Proportional to 57,331.55 and 84,312.14

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Solution

The third proportional to 57,331.55 and 84,312.14 is: 123,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,331.55 : 84,312.14 = 84,312.14 : x
  2. Step 2: Convert to fraction form
    57,331.55/84,312.14 = 84,312.14/x
  3. Step 3: Cross multiply
    57,331.55x = 84,312.14 × 84,312.14
  4. Step 4: Simplify right side
    57,331.55x = 7,108,537,056.77
  5. Step 5: Solve for x
    x = 7,108,537,056.77/57,331.55
  6. Step 6: Final answer
    x = 123,989.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.