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Finding the Third Proportional to 89,083 and 130,708

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Solution

The third proportional to 89,083 and 130,708 is: 191,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,083 : 130,708 = 130,708 : x
  2. Step 2: Convert to fraction form
    89,083/130,708 = 130,708/x
  3. Step 3: Cross multiply
    89,083x = 130,708 × 130,708
  4. Step 4: Simplify right side
    89,083x = 17,084,581,264
  5. Step 5: Solve for x
    x = 17,084,581,264/89,083
  6. Step 6: Final answer
    x = 191,782.73

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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.