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Finding the Third Proportional to 89,076 and 130,693

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Solution

The third proportional to 89,076 and 130,693 is: 191,753.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,076 : 130,693 = 130,693 : x
  2. Step 2: Convert to fraction form
    89,076/130,693 = 130,693/x
  3. Step 3: Cross multiply
    89,076x = 130,693 × 130,693
  4. Step 4: Simplify right side
    89,076x = 17,080,660,249
  5. Step 5: Solve for x
    x = 17,080,660,249/89,076
  6. Step 6: Final answer
    x = 191,753.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.