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Finding the Third Proportional to 45,988 and 73,772

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Solution

The third proportional to 45,988 and 73,772 is: 118,341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,988 : 73,772 = 73,772 : x
  2. Step 2: Convert to fraction form
    45,988/73,772 = 73,772/x
  3. Step 3: Cross multiply
    45,988x = 73,772 × 73,772
  4. Step 4: Simplify right side
    45,988x = 5,442,307,984
  5. Step 5: Solve for x
    x = 5,442,307,984/45,988
  6. Step 6: Final answer
    x = 118,341.91

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.