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Finding the Third Proportional to 137,060.25 and 205,590

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Solution

The third proportional to 137,060.25 and 205,590 is: 308,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,060.25 : 205,590 = 205,590 : x
  2. Step 2: Convert to fraction form
    137,060.25/205,590 = 205,590/x
  3. Step 3: Cross multiply
    137,060.25x = 205,590 × 205,590
  4. Step 4: Simplify right side
    137,060.25x = 42,267,248,100
  5. Step 5: Solve for x
    x = 42,267,248,100/137,060.25
  6. Step 6: Final answer
    x = 308,384.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.