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Finding the Third Proportional to 91,924 and 130,076

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Solution

The third proportional to 91,924 and 130,076 is: 184,062.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,924 : 130,076 = 130,076 : x
  2. Step 2: Convert to fraction form
    91,924/130,076 = 130,076/x
  3. Step 3: Cross multiply
    91,924x = 130,076 × 130,076
  4. Step 4: Simplify right side
    91,924x = 16,919,765,776
  5. Step 5: Solve for x
    x = 16,919,765,776/91,924
  6. Step 6: Final answer
    x = 184,062.55

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.