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Finding the Third Proportional to 89,070 and 130,692

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Solution

The third proportional to 89,070 and 130,692 is: 191,763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,070 : 130,692 = 130,692 : x
  2. Step 2: Convert to fraction form
    89,070/130,692 = 130,692/x
  3. Step 3: Cross multiply
    89,070x = 130,692 × 130,692
  4. Step 4: Simplify right side
    89,070x = 17,080,398,864
  5. Step 5: Solve for x
    x = 17,080,398,864/89,070
  6. Step 6: Final answer
    x = 191,763.77

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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.