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Finding the Third Proportional to 162,872 and 249,151

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Solution

The third proportional to 162,872 and 249,151 is: 381,135.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,872 : 249,151 = 249,151 : x
  2. Step 2: Convert to fraction form
    162,872/249,151 = 249,151/x
  3. Step 3: Cross multiply
    162,872x = 249,151 × 249,151
  4. Step 4: Simplify right side
    162,872x = 62,076,220,801
  5. Step 5: Solve for x
    x = 62,076,220,801/162,872
  6. Step 6: Final answer
    x = 381,135.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.