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Finding the Third Proportional to 103,549.50 and 153,866.25

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Solution

The third proportional to 103,549.50 and 153,866.25 is: 228,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,549.50 : 153,866.25 = 153,866.25 : x
  2. Step 2: Convert to fraction form
    103,549.50/153,866.25 = 153,866.25/x
  3. Step 3: Cross multiply
    103,549.50x = 153,866.25 × 153,866.25
  4. Step 4: Simplify right side
    103,549.50x = 23,674,822,889.06
  5. Step 5: Solve for x
    x = 23,674,822,889.06/103,549.50
  6. Step 6: Final answer
    x = 228,632.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.