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Finding the Third Proportional to 107,120 and 160,365

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Solution

The third proportional to 107,120 and 160,365 is: 240,075.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,120 : 160,365 = 160,365 : x
  2. Step 2: Convert to fraction form
    107,120/160,365 = 160,365/x
  3. Step 3: Cross multiply
    107,120x = 160,365 × 160,365
  4. Step 4: Simplify right side
    107,120x = 25,716,933,225
  5. Step 5: Solve for x
    x = 25,716,933,225/107,120
  6. Step 6: Final answer
    x = 240,075.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.