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Finding the Third Proportional to 84,624 and 130,605

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Solution

The third proportional to 84,624 and 130,605 is: 201,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,624 : 130,605 = 130,605 : x
  2. Step 2: Convert to fraction form
    84,624/130,605 = 130,605/x
  3. Step 3: Cross multiply
    84,624x = 130,605 × 130,605
  4. Step 4: Simplify right side
    84,624x = 17,057,666,025
  5. Step 5: Solve for x
    x = 17,057,666,025/84,624
  6. Step 6: Final answer
    x = 201,570.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.