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Finding the Third Proportional to 118,065 and 254,788.50

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Solution

The third proportional to 118,065 and 254,788.50 is: 549,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,065 : 254,788.50 = 254,788.50 : x
  2. Step 2: Convert to fraction form
    118,065/254,788.50 = 254,788.50/x
  3. Step 3: Cross multiply
    118,065x = 254,788.50 × 254,788.50
  4. Step 4: Simplify right side
    118,065x = 64,917,179,732.25
  5. Step 5: Solve for x
    x = 64,917,179,732.25/118,065
  6. Step 6: Final answer
    x = 549,842.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.