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Finding the Third Proportional to 56,176 and 120,613

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Solution

The third proportional to 56,176 and 120,613 is: 258,962.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,176 : 120,613 = 120,613 : x
  2. Step 2: Convert to fraction form
    56,176/120,613 = 120,613/x
  3. Step 3: Cross multiply
    56,176x = 120,613 × 120,613
  4. Step 4: Simplify right side
    56,176x = 14,547,495,769
  5. Step 5: Solve for x
    x = 14,547,495,769/56,176
  6. Step 6: Final answer
    x = 258,962.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.