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Finding the Third Proportional to 115,755 and 153,631.50

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Solution

The third proportional to 115,755 and 153,631.50 is: 203,901.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,755 : 153,631.50 = 153,631.50 : x
  2. Step 2: Convert to fraction form
    115,755/153,631.50 = 153,631.50/x
  3. Step 3: Cross multiply
    115,755x = 153,631.50 × 153,631.50
  4. Step 4: Simplify right side
    115,755x = 23,602,637,792.25
  5. Step 5: Solve for x
    x = 23,602,637,792.25/115,755
  6. Step 6: Final answer
    x = 203,901.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.