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Finding the Third Proportional to 103,733.50 and 160,207

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Solution

The third proportional to 103,733.50 and 160,207 is: 247,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,733.50 : 160,207 = 160,207 : x
  2. Step 2: Convert to fraction form
    103,733.50/160,207 = 160,207/x
  3. Step 3: Cross multiply
    103,733.50x = 160,207 × 160,207
  4. Step 4: Simplify right side
    103,733.50x = 25,666,282,849
  5. Step 5: Solve for x
    x = 25,666,282,849/103,733.50
  6. Step 6: Final answer
    x = 247,425.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.