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Finding the Third Proportional to 76,548 and 162,364

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Solution

The third proportional to 76,548 and 162,364 is: 344,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,548 : 162,364 = 162,364 : x
  2. Step 2: Convert to fraction form
    76,548/162,364 = 162,364/x
  3. Step 3: Cross multiply
    76,548x = 162,364 × 162,364
  4. Step 4: Simplify right side
    76,548x = 26,362,068,496
  5. Step 5: Solve for x
    x = 26,362,068,496/76,548
  6. Step 6: Final answer
    x = 344,386.12

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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.