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Finding the Third Proportional to 86,461 and 132,316

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Solution

The third proportional to 86,461 and 132,316 is: 202,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,461 : 132,316 = 132,316 : x
  2. Step 2: Convert to fraction form
    86,461/132,316 = 132,316/x
  3. Step 3: Cross multiply
    86,461x = 132,316 × 132,316
  4. Step 4: Simplify right side
    86,461x = 17,507,523,856
  5. Step 5: Solve for x
    x = 17,507,523,856/86,461
  6. Step 6: Final answer
    x = 202,490.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.