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Finding the Third Proportional to 56,700 and 124,254

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Solution

The third proportional to 56,700 and 124,254 is: 272,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,700 : 124,254 = 124,254 : x
  2. Step 2: Convert to fraction form
    56,700/124,254 = 124,254/x
  3. Step 3: Cross multiply
    56,700x = 124,254 × 124,254
  4. Step 4: Simplify right side
    56,700x = 15,439,056,516
  5. Step 5: Solve for x
    x = 15,439,056,516/56,700
  6. Step 6: Final answer
    x = 272,293.77

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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.