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Finding the Third Proportional to 86,564 and 130,784

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Solution

The third proportional to 86,564 and 130,784 is: 197,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,564 : 130,784 = 130,784 : x
  2. Step 2: Convert to fraction form
    86,564/130,784 = 130,784/x
  3. Step 3: Cross multiply
    86,564x = 130,784 × 130,784
  4. Step 4: Simplify right side
    86,564x = 17,104,454,656
  5. Step 5: Solve for x
    x = 17,104,454,656/86,564
  6. Step 6: Final answer
    x = 197,593.16

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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.