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Finding the Third Proportional to 61,424 and 129,037

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Solution

The third proportional to 61,424 and 129,037 is: 271,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,424 : 129,037 = 129,037 : x
  2. Step 2: Convert to fraction form
    61,424/129,037 = 129,037/x
  3. Step 3: Cross multiply
    61,424x = 129,037 × 129,037
  4. Step 4: Simplify right side
    61,424x = 16,650,547,369
  5. Step 5: Solve for x
    x = 16,650,547,369/61,424
  6. Step 6: Final answer
    x = 271,075.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.