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Finding the Third Proportional to 70,767 and 110,457

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Solution

The third proportional to 70,767 and 110,457 is: 172,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,767 : 110,457 = 110,457 : x
  2. Step 2: Convert to fraction form
    70,767/110,457 = 110,457/x
  3. Step 3: Cross multiply
    70,767x = 110,457 × 110,457
  4. Step 4: Simplify right side
    70,767x = 12,200,748,849
  5. Step 5: Solve for x
    x = 12,200,748,849/70,767
  6. Step 6: Final answer
    x = 172,407.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.