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Finding the Third Proportional to 86,571 and 130,428

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Solution

The third proportional to 86,571 and 130,428 is: 196,503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,571 : 130,428 = 130,428 : x
  2. Step 2: Convert to fraction form
    86,571/130,428 = 130,428/x
  3. Step 3: Cross multiply
    86,571x = 130,428 × 130,428
  4. Step 4: Simplify right side
    86,571x = 17,011,463,184
  5. Step 5: Solve for x
    x = 17,011,463,184/86,571
  6. Step 6: Final answer
    x = 196,503.02

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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.