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Finding the Third Proportional to 124,010 and 185,527

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Solution

The third proportional to 124,010 and 185,527 is: 277,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,010 : 185,527 = 185,527 : x
  2. Step 2: Convert to fraction form
    124,010/185,527 = 185,527/x
  3. Step 3: Cross multiply
    124,010x = 185,527 × 185,527
  4. Step 4: Simplify right side
    124,010x = 34,420,267,729
  5. Step 5: Solve for x
    x = 34,420,267,729/124,010
  6. Step 6: Final answer
    x = 277,560.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.