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Finding the Third Proportional to 48,332 and 74,702

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Solution

The third proportional to 48,332 and 74,702 is: 115,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,332 : 74,702 = 74,702 : x
  2. Step 2: Convert to fraction form
    48,332/74,702 = 74,702/x
  3. Step 3: Cross multiply
    48,332x = 74,702 × 74,702
  4. Step 4: Simplify right side
    48,332x = 5,580,388,804
  5. Step 5: Solve for x
    x = 5,580,388,804/48,332
  6. Step 6: Final answer
    x = 115,459.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.