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Finding the Third Proportional to 124,767 and 174,613.50

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Solution

The third proportional to 124,767 and 174,613.50 is: 244,374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,767 : 174,613.50 = 174,613.50 : x
  2. Step 2: Convert to fraction form
    124,767/174,613.50 = 174,613.50/x
  3. Step 3: Cross multiply
    124,767x = 174,613.50 × 174,613.50
  4. Step 4: Simplify right side
    124,767x = 30,489,874,382.25
  5. Step 5: Solve for x
    x = 30,489,874,382.25/124,767
  6. Step 6: Final answer
    x = 244,374.51

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.