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Finding the Third Proportional to 125,840 and 276,547

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Solution

The third proportional to 125,840 and 276,547 is: 607,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,840 : 276,547 = 276,547 : x
  2. Step 2: Convert to fraction form
    125,840/276,547 = 276,547/x
  3. Step 3: Cross multiply
    125,840x = 276,547 × 276,547
  4. Step 4: Simplify right side
    125,840x = 76,478,243,209
  5. Step 5: Solve for x
    x = 76,478,243,209/125,840
  6. Step 6: Final answer
    x = 607,741.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.