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Finding the Third Proportional to 55,081 and 74,317.13

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Solution

The third proportional to 55,081 and 74,317.13 is: 100,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,081 : 74,317.13 = 74,317.13 : x
  2. Step 2: Convert to fraction form
    55,081/74,317.13 = 74,317.13/x
  3. Step 3: Cross multiply
    55,081x = 74,317.13 × 74,317.13
  4. Step 4: Simplify right side
    55,081x = 5,523,035,068.27
  5. Step 5: Solve for x
    x = 5,523,035,068.27/55,081
  6. Step 6: Final answer
    x = 100,271.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.