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Finding the Third Proportional to 118,754 and 177,537

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Solution

The third proportional to 118,754 and 177,537 is: 265,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,754 : 177,537 = 177,537 : x
  2. Step 2: Convert to fraction form
    118,754/177,537 = 177,537/x
  3. Step 3: Cross multiply
    118,754x = 177,537 × 177,537
  4. Step 4: Simplify right side
    118,754x = 31,519,386,369
  5. Step 5: Solve for x
    x = 31,519,386,369/118,754
  6. Step 6: Final answer
    x = 265,417.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.