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Finding the Third Proportional to 97,197.75 and 152,145

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Solution

The third proportional to 97,197.75 and 152,145 is: 238,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,197.75 : 152,145 = 152,145 : x
  2. Step 2: Convert to fraction form
    97,197.75/152,145 = 152,145/x
  3. Step 3: Cross multiply
    97,197.75x = 152,145 × 152,145
  4. Step 4: Simplify right side
    97,197.75x = 23,148,101,025
  5. Step 5: Solve for x
    x = 23,148,101,025/97,197.75
  6. Step 6: Final answer
    x = 238,154.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.