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Finding the Third Proportional to 60,966 and 97,351.50

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Solution

The third proportional to 60,966 and 97,351.50 is: 155,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,966 : 97,351.50 = 97,351.50 : x
  2. Step 2: Convert to fraction form
    60,966/97,351.50 = 97,351.50/x
  3. Step 3: Cross multiply
    60,966x = 97,351.50 × 97,351.50
  4. Step 4: Simplify right side
    60,966x = 9,477,314,552.25
  5. Step 5: Solve for x
    x = 9,477,314,552.25/60,966
  6. Step 6: Final answer
    x = 155,452.46

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Why These Related Problems?

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