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Finding the Third Proportional to 61,509 and 130,362

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Solution

The third proportional to 61,509 and 130,362 is: 276,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,509 : 130,362 = 130,362 : x
  2. Step 2: Convert to fraction form
    61,509/130,362 = 130,362/x
  3. Step 3: Cross multiply
    61,509x = 130,362 × 130,362
  4. Step 4: Simplify right side
    61,509x = 16,994,251,044
  5. Step 5: Solve for x
    x = 16,994,251,044/61,509
  6. Step 6: Final answer
    x = 276,288.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.