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Finding the Third Proportional to 162,126 and 242,541

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Solution

The third proportional to 162,126 and 242,541 is: 362,842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,126 : 242,541 = 242,541 : x
  2. Step 2: Convert to fraction form
    162,126/242,541 = 242,541/x
  3. Step 3: Cross multiply
    162,126x = 242,541 × 242,541
  4. Step 4: Simplify right side
    162,126x = 58,826,136,681
  5. Step 5: Solve for x
    x = 58,826,136,681/162,126
  6. Step 6: Final answer
    x = 362,842.09

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Why These Related Problems?

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