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Finding the Third Proportional to 74,953 and 115,323.50

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Solution

The third proportional to 74,953 and 115,323.50 is: 177,437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,953 : 115,323.50 = 115,323.50 : x
  2. Step 2: Convert to fraction form
    74,953/115,323.50 = 115,323.50/x
  3. Step 3: Cross multiply
    74,953x = 115,323.50 × 115,323.50
  4. Step 4: Simplify right side
    74,953x = 13,299,509,652.25
  5. Step 5: Solve for x
    x = 13,299,509,652.25/74,953
  6. Step 6: Final answer
    x = 177,437.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.