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Finding the Third Proportional to 105,390 and 162,459

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Solution

The third proportional to 105,390 and 162,459 is: 250,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,390 : 162,459 = 162,459 : x
  2. Step 2: Convert to fraction form
    105,390/162,459 = 162,459/x
  3. Step 3: Cross multiply
    105,390x = 162,459 × 162,459
  4. Step 4: Simplify right side
    105,390x = 26,392,926,681
  5. Step 5: Solve for x
    x = 26,392,926,681/105,390
  6. Step 6: Final answer
    x = 250,431.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.