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Finding the Third Proportional to 122,461.13 and 185,537

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Solution

The third proportional to 122,461.13 and 185,537 is: 281,101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,461.13 : 185,537 = 185,537 : x
  2. Step 2: Convert to fraction form
    122,461.13/185,537 = 185,537/x
  3. Step 3: Cross multiply
    122,461.13x = 185,537 × 185,537
  4. Step 4: Simplify right side
    122,461.13x = 34,423,978,369
  5. Step 5: Solve for x
    x = 34,423,978,369/122,461.13
  6. Step 6: Final answer
    x = 281,101.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.