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Finding the Third Proportional to 62,185.50 and 97,276.50

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Solution

The third proportional to 62,185.50 and 97,276.50 is: 152,169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,185.50 : 97,276.50 = 97,276.50 : x
  2. Step 2: Convert to fraction form
    62,185.50/97,276.50 = 97,276.50/x
  3. Step 3: Cross multiply
    62,185.50x = 97,276.50 × 97,276.50
  4. Step 4: Simplify right side
    62,185.50x = 9,462,717,452.25
  5. Step 5: Solve for x
    x = 9,462,717,452.25/62,185.50
  6. Step 6: Final answer
    x = 152,169.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.