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Finding the Third Proportional to 105,271.50 and 148,263

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Solution

The third proportional to 105,271.50 and 148,263 is: 208,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,271.50 : 148,263 = 148,263 : x
  2. Step 2: Convert to fraction form
    105,271.50/148,263 = 148,263/x
  3. Step 3: Cross multiply
    105,271.50x = 148,263 × 148,263
  4. Step 4: Simplify right side
    105,271.50x = 21,981,917,169
  5. Step 5: Solve for x
    x = 21,981,917,169/105,271.50
  6. Step 6: Final answer
    x = 208,811.66

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.