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Finding the Third Proportional to 86,038 and 130,352

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Solution

The third proportional to 86,038 and 130,352 is: 197,489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,038 : 130,352 = 130,352 : x
  2. Step 2: Convert to fraction form
    86,038/130,352 = 130,352/x
  3. Step 3: Cross multiply
    86,038x = 130,352 × 130,352
  4. Step 4: Simplify right side
    86,038x = 16,991,643,904
  5. Step 5: Solve for x
    x = 16,991,643,904/86,038
  6. Step 6: Final answer
    x = 197,489.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.