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Finding the Third Proportional to 44,547 and 92,769

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Solution

The third proportional to 44,547 and 92,769 is: 193,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,547 : 92,769 = 92,769 : x
  2. Step 2: Convert to fraction form
    44,547/92,769 = 92,769/x
  3. Step 3: Cross multiply
    44,547x = 92,769 × 92,769
  4. Step 4: Simplify right side
    44,547x = 8,606,087,361
  5. Step 5: Solve for x
    x = 8,606,087,361/44,547
  6. Step 6: Final answer
    x = 193,191.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.