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Finding the Third Proportional to 98,730 and 144,408

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Solution

The third proportional to 98,730 and 144,408 is: 211,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,730 : 144,408 = 144,408 : x
  2. Step 2: Convert to fraction form
    98,730/144,408 = 144,408/x
  3. Step 3: Cross multiply
    98,730x = 144,408 × 144,408
  4. Step 4: Simplify right side
    98,730x = 20,853,670,464
  5. Step 5: Solve for x
    x = 20,853,670,464/98,730
  6. Step 6: Final answer
    x = 211,219.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.