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Finding the Third Proportional to 89,732 and 130,702

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Solution

The third proportional to 89,732 and 130,702 is: 190,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,732 : 130,702 = 130,702 : x
  2. Step 2: Convert to fraction form
    89,732/130,702 = 130,702/x
  3. Step 3: Cross multiply
    89,732x = 130,702 × 130,702
  4. Step 4: Simplify right side
    89,732x = 17,083,012,804
  5. Step 5: Solve for x
    x = 17,083,012,804/89,732
  6. Step 6: Final answer
    x = 190,378.16

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.