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Finding the Third Proportional to 41,547 and 90,140

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Solution

The third proportional to 41,547 and 90,140 is: 195,566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,547 : 90,140 = 90,140 : x
  2. Step 2: Convert to fraction form
    41,547/90,140 = 90,140/x
  3. Step 3: Cross multiply
    41,547x = 90,140 × 90,140
  4. Step 4: Simplify right side
    41,547x = 8,125,219,600
  5. Step 5: Solve for x
    x = 8,125,219,600/41,547
  6. Step 6: Final answer
    x = 195,566.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.