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Finding the Third Proportional to 57,348 and 123,484.50

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Solution

The third proportional to 57,348 and 123,484.50 is: 265,892.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,348 : 123,484.50 = 123,484.50 : x
  2. Step 2: Convert to fraction form
    57,348/123,484.50 = 123,484.50/x
  3. Step 3: Cross multiply
    57,348x = 123,484.50 × 123,484.50
  4. Step 4: Simplify right side
    57,348x = 15,248,421,740.25
  5. Step 5: Solve for x
    x = 15,248,421,740.25/57,348
  6. Step 6: Final answer
    x = 265,892.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.