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Finding the Third Proportional to 74,927.53 and 97,355.67

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Solution

The third proportional to 74,927.53 and 97,355.67 is: 126,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,927.53 : 97,355.67 = 97,355.67 : x
  2. Step 2: Convert to fraction form
    74,927.53/97,355.67 = 97,355.67/x
  3. Step 3: Cross multiply
    74,927.53x = 97,355.67 × 97,355.67
  4. Step 4: Simplify right side
    74,927.53x = 9,478,126,846.23
  5. Step 5: Solve for x
    x = 9,478,126,846.23/74,927.53
  6. Step 6: Final answer
    x = 126,497.25

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.