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Finding the Third Proportional to 45,630 and 97,564

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Solution

The third proportional to 45,630 and 97,564 is: 208,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,630 : 97,564 = 97,564 : x
  2. Step 2: Convert to fraction form
    45,630/97,564 = 97,564/x
  3. Step 3: Cross multiply
    45,630x = 97,564 × 97,564
  4. Step 4: Simplify right side
    45,630x = 9,518,734,096
  5. Step 5: Solve for x
    x = 9,518,734,096/45,630
  6. Step 6: Final answer
    x = 208,606.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.