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Finding the Third Proportional to 58,113 and 127,281

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Solution

The third proportional to 58,113 and 127,281 is: 278,775.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,113 : 127,281 = 127,281 : x
  2. Step 2: Convert to fraction form
    58,113/127,281 = 127,281/x
  3. Step 3: Cross multiply
    58,113x = 127,281 × 127,281
  4. Step 4: Simplify right side
    58,113x = 16,200,452,961
  5. Step 5: Solve for x
    x = 16,200,452,961/58,113
  6. Step 6: Final answer
    x = 278,775.02

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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.