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Finding the Third Proportional to 86,466 and 130,854

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Solution

The third proportional to 86,466 and 130,854 is: 198,028.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,466 : 130,854 = 130,854 : x
  2. Step 2: Convert to fraction form
    86,466/130,854 = 130,854/x
  3. Step 3: Cross multiply
    86,466x = 130,854 × 130,854
  4. Step 4: Simplify right side
    86,466x = 17,122,769,316
  5. Step 5: Solve for x
    x = 17,122,769,316/86,466
  6. Step 6: Final answer
    x = 198,028.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.