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Finding the Third Proportional to 91,854 and 97,321.50

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Solution

The third proportional to 91,854 and 97,321.50 is: 103,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,854 : 97,321.50 = 97,321.50 : x
  2. Step 2: Convert to fraction form
    91,854/97,321.50 = 97,321.50/x
  3. Step 3: Cross multiply
    91,854x = 97,321.50 × 97,321.50
  4. Step 4: Simplify right side
    91,854x = 9,471,474,362.25
  5. Step 5: Solve for x
    x = 9,471,474,362.25/91,854
  6. Step 6: Final answer
    x = 103,114.45

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.