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Finding the Third Proportional to 60,156 and 130,702

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Solution

The third proportional to 60,156 and 130,702 is: 283,978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,156 : 130,702 = 130,702 : x
  2. Step 2: Convert to fraction form
    60,156/130,702 = 130,702/x
  3. Step 3: Cross multiply
    60,156x = 130,702 × 130,702
  4. Step 4: Simplify right side
    60,156x = 17,083,012,804
  5. Step 5: Solve for x
    x = 17,083,012,804/60,156
  6. Step 6: Final answer
    x = 283,978.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.