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Finding the Third Proportional to 62,322 and 136,063.50

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Solution

The third proportional to 62,322 and 136,063.50 is: 297,058.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,322 : 136,063.50 = 136,063.50 : x
  2. Step 2: Convert to fraction form
    62,322/136,063.50 = 136,063.50/x
  3. Step 3: Cross multiply
    62,322x = 136,063.50 × 136,063.50
  4. Step 4: Simplify right side
    62,322x = 18,513,276,032.25
  5. Step 5: Solve for x
    x = 18,513,276,032.25/62,322
  6. Step 6: Final answer
    x = 297,058.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.