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Finding the Third Proportional to 56,470 and 120,712

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Solution

The third proportional to 56,470 and 120,712 is: 258,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,470 : 120,712 = 120,712 : x
  2. Step 2: Convert to fraction form
    56,470/120,712 = 120,712/x
  3. Step 3: Cross multiply
    56,470x = 120,712 × 120,712
  4. Step 4: Simplify right side
    56,470x = 14,571,386,944
  5. Step 5: Solve for x
    x = 14,571,386,944/56,470
  6. Step 6: Final answer
    x = 258,037.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.