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Finding the Third Proportional to 97,194.75 and 152,140.50

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Solution

The third proportional to 97,194.75 and 152,140.50 is: 238,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,194.75 : 152,140.50 = 152,140.50 : x
  2. Step 2: Convert to fraction form
    97,194.75/152,140.50 = 152,140.50/x
  3. Step 3: Cross multiply
    97,194.75x = 152,140.50 × 152,140.50
  4. Step 4: Simplify right side
    97,194.75x = 23,146,731,740.25
  5. Step 5: Solve for x
    x = 23,146,731,740.25/97,194.75
  6. Step 6: Final answer
    x = 238,147.96

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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.