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Finding the Third Proportional to 45,920 and 97,352

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Solution

The third proportional to 45,920 and 97,352 is: 206,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,920 : 97,352 = 97,352 : x
  2. Step 2: Convert to fraction form
    45,920/97,352 = 97,352/x
  3. Step 3: Cross multiply
    45,920x = 97,352 × 97,352
  4. Step 4: Simplify right side
    45,920x = 9,477,411,904
  5. Step 5: Solve for x
    x = 9,477,411,904/45,920
  6. Step 6: Final answer
    x = 206,389.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.