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Finding the Third Proportional to 56,074 and 93,457

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Solution

The third proportional to 56,074 and 93,457 is: 155,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,074 : 93,457 = 93,457 : x
  2. Step 2: Convert to fraction form
    56,074/93,457 = 93,457/x
  3. Step 3: Cross multiply
    56,074x = 93,457 × 93,457
  4. Step 4: Simplify right side
    56,074x = 8,734,210,849
  5. Step 5: Solve for x
    x = 8,734,210,849/56,074
  6. Step 6: Final answer
    x = 155,762.22

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.