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Finding the Third Proportional to 86,547 and 191,880

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Solution

The third proportional to 86,547 and 191,880 is: 425,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,547 : 191,880 = 191,880 : x
  2. Step 2: Convert to fraction form
    86,547/191,880 = 191,880/x
  3. Step 3: Cross multiply
    86,547x = 191,880 × 191,880
  4. Step 4: Simplify right side
    86,547x = 36,817,934,400
  5. Step 5: Solve for x
    x = 36,817,934,400/86,547
  6. Step 6: Final answer
    x = 425,409.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.