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Finding the Third Proportional to 137,946 and 185,377

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Solution

The third proportional to 137,946 and 185,377 is: 249,116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,946 : 185,377 = 185,377 : x
  2. Step 2: Convert to fraction form
    137,946/185,377 = 185,377/x
  3. Step 3: Cross multiply
    137,946x = 185,377 × 185,377
  4. Step 4: Simplify right side
    137,946x = 34,364,632,129
  5. Step 5: Solve for x
    x = 34,364,632,129/137,946
  6. Step 6: Final answer
    x = 249,116.55

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.