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Finding the Third Proportional to 137,252.50 and 205,070.63

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Solution

The third proportional to 137,252.50 and 205,070.63 is: 306,398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,252.50 : 205,070.63 = 205,070.63 : x
  2. Step 2: Convert to fraction form
    137,252.50/205,070.63 = 205,070.63/x
  3. Step 3: Cross multiply
    137,252.50x = 205,070.63 × 205,070.63
  4. Step 4: Simplify right side
    137,252.50x = 42,053,961,237.89
  5. Step 5: Solve for x
    x = 42,053,961,237.89/137,252.50
  6. Step 6: Final answer
    x = 306,398.51

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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.