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Finding the Third Proportional to 52,937 and 113,550

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Solution

The third proportional to 52,937 and 113,550 is: 243,565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,937 : 113,550 = 113,550 : x
  2. Step 2: Convert to fraction form
    52,937/113,550 = 113,550/x
  3. Step 3: Cross multiply
    52,937x = 113,550 × 113,550
  4. Step 4: Simplify right side
    52,937x = 12,893,602,500
  5. Step 5: Solve for x
    x = 12,893,602,500/52,937
  6. Step 6: Final answer
    x = 243,565.04

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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.