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Finding the Third Proportional to 124,013.25 and 185,535

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Solution

The third proportional to 124,013.25 and 185,535 is: 277,577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,013.25 : 185,535 = 185,535 : x
  2. Step 2: Convert to fraction form
    124,013.25/185,535 = 185,535/x
  3. Step 3: Cross multiply
    124,013.25x = 185,535 × 185,535
  4. Step 4: Simplify right side
    124,013.25x = 34,423,236,225
  5. Step 5: Solve for x
    x = 34,423,236,225/124,013.25
  6. Step 6: Final answer
    x = 277,577.08

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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.