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Finding the Third Proportional to 113,202 and 153,190

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Solution

The third proportional to 113,202 and 153,190 is: 207,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,202 : 153,190 = 153,190 : x
  2. Step 2: Convert to fraction form
    113,202/153,190 = 153,190/x
  3. Step 3: Cross multiply
    113,202x = 153,190 × 153,190
  4. Step 4: Simplify right side
    113,202x = 23,467,176,100
  5. Step 5: Solve for x
    x = 23,467,176,100/113,202
  6. Step 6: Final answer
    x = 207,303.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.