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Finding the Third Proportional to 63,554 and 93,358

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Solution

The third proportional to 63,554 and 93,358 is: 137,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,554 : 93,358 = 93,358 : x
  2. Step 2: Convert to fraction form
    63,554/93,358 = 93,358/x
  3. Step 3: Cross multiply
    63,554x = 93,358 × 93,358
  4. Step 4: Simplify right side
    63,554x = 8,715,716,164
  5. Step 5: Solve for x
    x = 8,715,716,164/63,554
  6. Step 6: Final answer
    x = 137,138.75

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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.