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Finding the Third Proportional to 137,688.75 and 185,296.50

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Solution

The third proportional to 137,688.75 and 185,296.50 is: 249,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,688.75 : 185,296.50 = 185,296.50 : x
  2. Step 2: Convert to fraction form
    137,688.75/185,296.50 = 185,296.50/x
  3. Step 3: Cross multiply
    137,688.75x = 185,296.50 × 185,296.50
  4. Step 4: Simplify right side
    137,688.75x = 34,334,792,912.25
  5. Step 5: Solve for x
    x = 34,334,792,912.25/137,688.75
  6. Step 6: Final answer
    x = 249,365.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.