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Finding the Third Proportional to 125,024 and 269,776

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Solution

The third proportional to 125,024 and 269,776 is: 582,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,024 : 269,776 = 269,776 : x
  2. Step 2: Convert to fraction form
    125,024/269,776 = 269,776/x
  3. Step 3: Cross multiply
    125,024x = 269,776 × 269,776
  4. Step 4: Simplify right side
    125,024x = 72,779,090,176
  5. Step 5: Solve for x
    x = 72,779,090,176/125,024
  6. Step 6: Final answer
    x = 582,120.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.