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Finding the Third Proportional to 119,681 and 177,210

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Solution

The third proportional to 119,681 and 177,210 is: 262,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,681 : 177,210 = 177,210 : x
  2. Step 2: Convert to fraction form
    119,681/177,210 = 177,210/x
  3. Step 3: Cross multiply
    119,681x = 177,210 × 177,210
  4. Step 4: Simplify right side
    119,681x = 31,403,384,100
  5. Step 5: Solve for x
    x = 31,403,384,100/119,681
  6. Step 6: Final answer
    x = 262,392.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.