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Finding the Third Proportional to 72,675 and 97,666.50

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Solution

The third proportional to 72,675 and 97,666.50 is: 131,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,675 : 97,666.50 = 97,666.50 : x
  2. Step 2: Convert to fraction form
    72,675/97,666.50 = 97,666.50/x
  3. Step 3: Cross multiply
    72,675x = 97,666.50 × 97,666.50
  4. Step 4: Simplify right side
    72,675x = 9,538,745,222.25
  5. Step 5: Solve for x
    x = 9,538,745,222.25/72,675
  6. Step 6: Final answer
    x = 131,252.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.