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Finding the Third Proportional to 42,368 and 62,254

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Solution

The third proportional to 42,368 and 62,254 is: 91,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,368 : 62,254 = 62,254 : x
  2. Step 2: Convert to fraction form
    42,368/62,254 = 62,254/x
  3. Step 3: Cross multiply
    42,368x = 62,254 × 62,254
  4. Step 4: Simplify right side
    42,368x = 3,875,560,516
  5. Step 5: Solve for x
    x = 3,875,560,516/42,368
  6. Step 6: Final answer
    x = 91,473.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.