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Finding the Third Proportional to 61,926 and 102,453

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Solution

The third proportional to 61,926 and 102,453 is: 169,502.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,926 : 102,453 = 102,453 : x
  2. Step 2: Convert to fraction form
    61,926/102,453 = 102,453/x
  3. Step 3: Cross multiply
    61,926x = 102,453 × 102,453
  4. Step 4: Simplify right side
    61,926x = 10,496,617,209
  5. Step 5: Solve for x
    x = 10,496,617,209/61,926
  6. Step 6: Final answer
    x = 169,502.59

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.