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Finding the Third Proportional to 60,495 and 138,853.50

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Solution

The third proportional to 60,495 and 138,853.50 is: 318,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,495 : 138,853.50 = 138,853.50 : x
  2. Step 2: Convert to fraction form
    60,495/138,853.50 = 138,853.50/x
  3. Step 3: Cross multiply
    60,495x = 138,853.50 × 138,853.50
  4. Step 4: Simplify right side
    60,495x = 19,280,294,462.25
  5. Step 5: Solve for x
    x = 19,280,294,462.25/60,495
  6. Step 6: Final answer
    x = 318,708.89

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.