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Finding the Third Proportional to 67,428 and 97,124

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Solution

The third proportional to 67,428 and 97,124 is: 139,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,428 : 97,124 = 97,124 : x
  2. Step 2: Convert to fraction form
    67,428/97,124 = 97,124/x
  3. Step 3: Cross multiply
    67,428x = 97,124 × 97,124
  4. Step 4: Simplify right side
    67,428x = 9,433,071,376
  5. Step 5: Solve for x
    x = 9,433,071,376/67,428
  6. Step 6: Final answer
    x = 139,898.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.