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Finding the Third Proportional to 52,320 and 114,421

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Solution

The third proportional to 52,320 and 114,421 is: 250,232.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,320 : 114,421 = 114,421 : x
  2. Step 2: Convert to fraction form
    52,320/114,421 = 114,421/x
  3. Step 3: Cross multiply
    52,320x = 114,421 × 114,421
  4. Step 4: Simplify right side
    52,320x = 13,092,165,241
  5. Step 5: Solve for x
    x = 13,092,165,241/52,320
  6. Step 6: Final answer
    x = 250,232.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.