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Finding the Third Proportional to 56,598 and 120,428

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Solution

The third proportional to 56,598 and 120,428 is: 256,244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,598 : 120,428 = 120,428 : x
  2. Step 2: Convert to fraction form
    56,598/120,428 = 120,428/x
  3. Step 3: Cross multiply
    56,598x = 120,428 × 120,428
  4. Step 4: Simplify right side
    56,598x = 14,502,903,184
  5. Step 5: Solve for x
    x = 14,502,903,184/56,598
  6. Step 6: Final answer
    x = 256,244.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.