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Finding the Third Proportional to 61,854 and 93,354

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Solution

The third proportional to 61,854 and 93,354 is: 140,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,854 : 93,354 = 93,354 : x
  2. Step 2: Convert to fraction form
    61,854/93,354 = 93,354/x
  3. Step 3: Cross multiply
    61,854x = 93,354 × 93,354
  4. Step 4: Simplify right side
    61,854x = 8,714,969,316
  5. Step 5: Solve for x
    x = 8,714,969,316/61,854
  6. Step 6: Final answer
    x = 140,895.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.