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Finding the Third Proportional to 58,882 and 130,910

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Solution

The third proportional to 58,882 and 130,910 is: 291,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,882 : 130,910 = 130,910 : x
  2. Step 2: Convert to fraction form
    58,882/130,910 = 130,910/x
  3. Step 3: Cross multiply
    58,882x = 130,910 × 130,910
  4. Step 4: Simplify right side
    58,882x = 17,137,428,100
  5. Step 5: Solve for x
    x = 17,137,428,100/58,882
  6. Step 6: Final answer
    x = 291,046.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.