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Finding the Third Proportional to 60,931 and 133,633

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Solution

The third proportional to 60,931 and 133,633 is: 293,081.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,931 : 133,633 = 133,633 : x
  2. Step 2: Convert to fraction form
    60,931/133,633 = 133,633/x
  3. Step 3: Cross multiply
    60,931x = 133,633 × 133,633
  4. Step 4: Simplify right side
    60,931x = 17,857,778,689
  5. Step 5: Solve for x
    x = 17,857,778,689/60,931
  6. Step 6: Final answer
    x = 293,081.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.