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Finding the Third Proportional to 97,048.50 and 148,164.75

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Solution

The third proportional to 97,048.50 and 148,164.75 is: 226,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,048.50 : 148,164.75 = 148,164.75 : x
  2. Step 2: Convert to fraction form
    97,048.50/148,164.75 = 148,164.75/x
  3. Step 3: Cross multiply
    97,048.50x = 148,164.75 × 148,164.75
  4. Step 4: Simplify right side
    97,048.50x = 21,952,793,142.56
  5. Step 5: Solve for x
    x = 21,952,793,142.56/97,048.50
  6. Step 6: Final answer
    x = 226,204.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.