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Finding the Third Proportional to 63,746 and 93,363

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Solution

The third proportional to 63,746 and 93,363 is: 136,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,746 : 93,363 = 93,363 : x
  2. Step 2: Convert to fraction form
    63,746/93,363 = 93,363/x
  3. Step 3: Cross multiply
    63,746x = 93,363 × 93,363
  4. Step 4: Simplify right side
    63,746x = 8,716,649,769
  5. Step 5: Solve for x
    x = 8,716,649,769/63,746
  6. Step 6: Final answer
    x = 136,740.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.