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Finding the Third Proportional to 64,038 and 93,981

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Solution

The third proportional to 64,038 and 93,981 is: 137,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,038 : 93,981 = 93,981 : x
  2. Step 2: Convert to fraction form
    64,038/93,981 = 93,981/x
  3. Step 3: Cross multiply
    64,038x = 93,981 × 93,981
  4. Step 4: Simplify right side
    64,038x = 8,832,428,361
  5. Step 5: Solve for x
    x = 8,832,428,361/64,038
  6. Step 6: Final answer
    x = 137,924.80

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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.