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Finding the Third Proportional to 125,295.75 and 181,030.50

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Solution

The third proportional to 125,295.75 and 181,030.50 is: 261,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,295.75 : 181,030.50 = 181,030.50 : x
  2. Step 2: Convert to fraction form
    125,295.75/181,030.50 = 181,030.50/x
  3. Step 3: Cross multiply
    125,295.75x = 181,030.50 × 181,030.50
  4. Step 4: Simplify right side
    125,295.75x = 32,772,041,930.25
  5. Step 5: Solve for x
    x = 32,772,041,930.25/125,295.75
  6. Step 6: Final answer
    x = 261,557.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.