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Finding the Third Proportional to 85,413 and 124,827

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Solution

The third proportional to 85,413 and 124,827 is: 182,428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,413 : 124,827 = 124,827 : x
  2. Step 2: Convert to fraction form
    85,413/124,827 = 124,827/x
  3. Step 3: Cross multiply
    85,413x = 124,827 × 124,827
  4. Step 4: Simplify right side
    85,413x = 15,581,779,929
  5. Step 5: Solve for x
    x = 15,581,779,929/85,413
  6. Step 6: Final answer
    x = 182,428.67

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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.