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Finding the Third Proportional to 111,024.42 and 243,132.89

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Solution

The third proportional to 111,024.42 and 243,132.89 is: 532,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,024.42 : 243,132.89 = 243,132.89 : x
  2. Step 2: Convert to fraction form
    111,024.42/243,132.89 = 243,132.89/x
  3. Step 3: Cross multiply
    111,024.42x = 243,132.89 × 243,132.89
  4. Step 4: Simplify right side
    111,024.42x = 59,113,602,503.67
  5. Step 5: Solve for x
    x = 59,113,602,503.67/111,024.42
  6. Step 6: Final answer
    x = 532,437.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.