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Finding the Third Proportional to 137,706.75 and 249,464.81

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Solution

The third proportional to 137,706.75 and 249,464.81 is: 451,921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,706.75 : 249,464.81 = 249,464.81 : x
  2. Step 2: Convert to fraction form
    137,706.75/249,464.81 = 249,464.81/x
  3. Step 3: Cross multiply
    137,706.75x = 249,464.81 × 249,464.81
  4. Step 4: Simplify right side
    137,706.75x = 62,232,692,675.66
  5. Step 5: Solve for x
    x = 62,232,692,675.66/137,706.75
  6. Step 6: Final answer
    x = 451,921.88

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.