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Finding the Third Proportional to 122,076 and 253,362

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Solution

The third proportional to 122,076 and 253,362 is: 525,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,076 : 253,362 = 253,362 : x
  2. Step 2: Convert to fraction form
    122,076/253,362 = 253,362/x
  3. Step 3: Cross multiply
    122,076x = 253,362 × 253,362
  4. Step 4: Simplify right side
    122,076x = 64,192,303,044
  5. Step 5: Solve for x
    x = 64,192,303,044/122,076
  6. Step 6: Final answer
    x = 525,838.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.