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Finding the Third Proportional to 60,410 and 88,766

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Solution

The third proportional to 60,410 and 88,766 is: 130,432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,410 : 88,766 = 88,766 : x
  2. Step 2: Convert to fraction form
    60,410/88,766 = 88,766/x
  3. Step 3: Cross multiply
    60,410x = 88,766 × 88,766
  4. Step 4: Simplify right side
    60,410x = 7,879,402,756
  5. Step 5: Solve for x
    x = 7,879,402,756/60,410
  6. Step 6: Final answer
    x = 130,432.09

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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.