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Finding the Third Proportional to 56,430 and 121,368

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Solution

The third proportional to 56,430 and 121,368 is: 261,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,430 : 121,368 = 121,368 : x
  2. Step 2: Convert to fraction form
    56,430/121,368 = 121,368/x
  3. Step 3: Cross multiply
    56,430x = 121,368 × 121,368
  4. Step 4: Simplify right side
    56,430x = 14,730,191,424
  5. Step 5: Solve for x
    x = 14,730,191,424/56,430
  6. Step 6: Final answer
    x = 261,034.76

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