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Finding the Third Proportional to 52,974 and 115,060.50

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Solution

The third proportional to 52,974 and 115,060.50 is: 249,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,974 : 115,060.50 = 115,060.50 : x
  2. Step 2: Convert to fraction form
    52,974/115,060.50 = 115,060.50/x
  3. Step 3: Cross multiply
    52,974x = 115,060.50 × 115,060.50
  4. Step 4: Simplify right side
    52,974x = 13,238,918,660.25
  5. Step 5: Solve for x
    x = 13,238,918,660.25/52,974
  6. Step 6: Final answer
    x = 249,913.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.