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Finding the Third Proportional to 58,312 and 120,774

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Solution

The third proportional to 58,312 and 120,774 is: 250,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,312 : 120,774 = 120,774 : x
  2. Step 2: Convert to fraction form
    58,312/120,774 = 120,774/x
  3. Step 3: Cross multiply
    58,312x = 120,774 × 120,774
  4. Step 4: Simplify right side
    58,312x = 14,586,359,076
  5. Step 5: Solve for x
    x = 14,586,359,076/58,312
  6. Step 6: Final answer
    x = 250,143.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.