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Finding the Third Proportional to 62,410 and 93,347

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Solution

The third proportional to 62,410 and 93,347 is: 139,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,410 : 93,347 = 93,347 : x
  2. Step 2: Convert to fraction form
    62,410/93,347 = 93,347/x
  3. Step 3: Cross multiply
    62,410x = 93,347 × 93,347
  4. Step 4: Simplify right side
    62,410x = 8,713,662,409
  5. Step 5: Solve for x
    x = 8,713,662,409/62,410
  6. Step 6: Final answer
    x = 139,619.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.