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Finding the Third Proportional to 57,582 and 121,466

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Solution

The third proportional to 57,582 and 121,466 is: 256,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,582 : 121,466 = 121,466 : x
  2. Step 2: Convert to fraction form
    57,582/121,466 = 121,466/x
  3. Step 3: Cross multiply
    57,582x = 121,466 × 121,466
  4. Step 4: Simplify right side
    57,582x = 14,753,989,156
  5. Step 5: Solve for x
    x = 14,753,989,156/57,582
  6. Step 6: Final answer
    x = 256,225.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.