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Finding the Third Proportional to 84,534 and 130,822

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Solution

The third proportional to 84,534 and 130,822 is: 202,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,534 : 130,822 = 130,822 : x
  2. Step 2: Convert to fraction form
    84,534/130,822 = 130,822/x
  3. Step 3: Cross multiply
    84,534x = 130,822 × 130,822
  4. Step 4: Simplify right side
    84,534x = 17,114,395,684
  5. Step 5: Solve for x
    x = 17,114,395,684/84,534
  6. Step 6: Final answer
    x = 202,455.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.