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Finding the Third Proportional to 84,354 and 130,563

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Solution

The third proportional to 84,354 and 130,563 is: 202,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,354 : 130,563 = 130,563 : x
  2. Step 2: Convert to fraction form
    84,354/130,563 = 130,563/x
  3. Step 3: Cross multiply
    84,354x = 130,563 × 130,563
  4. Step 4: Simplify right side
    84,354x = 17,046,696,969
  5. Step 5: Solve for x
    x = 17,046,696,969/84,354
  6. Step 6: Final answer
    x = 202,085.22

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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.