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Finding the Third Proportional to 62,564 and 94,386

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Solution

The third proportional to 62,564 and 94,386 is: 142,393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,564 : 94,386 = 94,386 : x
  2. Step 2: Convert to fraction form
    62,564/94,386 = 94,386/x
  3. Step 3: Cross multiply
    62,564x = 94,386 × 94,386
  4. Step 4: Simplify right side
    62,564x = 8,908,716,996
  5. Step 5: Solve for x
    x = 8,908,716,996/62,564
  6. Step 6: Final answer
    x = 142,393.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.