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Finding the Third Proportional to 40,416 and 88,770

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Solution

The third proportional to 40,416 and 88,770 is: 194,975.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,416 : 88,770 = 88,770 : x
  2. Step 2: Convert to fraction form
    40,416/88,770 = 88,770/x
  3. Step 3: Cross multiply
    40,416x = 88,770 × 88,770
  4. Step 4: Simplify right side
    40,416x = 7,880,112,900
  5. Step 5: Solve for x
    x = 7,880,112,900/40,416
  6. Step 6: Final answer
    x = 194,975.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.