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Finding the Third Proportional to 60,913.50 and 97,202.25

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Solution

The third proportional to 60,913.50 and 97,202.25 is: 155,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,913.50 : 97,202.25 = 97,202.25 : x
  2. Step 2: Convert to fraction form
    60,913.50/97,202.25 = 97,202.25/x
  3. Step 3: Cross multiply
    60,913.50x = 97,202.25 × 97,202.25
  4. Step 4: Simplify right side
    60,913.50x = 9,448,277,405.06
  5. Step 5: Solve for x
    x = 9,448,277,405.06/60,913.50
  6. Step 6: Final answer
    x = 155,109.74

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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.