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Finding the Third Proportional to 74,253 and 115,105.50

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Solution

The third proportional to 74,253 and 115,105.50 is: 178,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,253 : 115,105.50 = 115,105.50 : x
  2. Step 2: Convert to fraction form
    74,253/115,105.50 = 115,105.50/x
  3. Step 3: Cross multiply
    74,253x = 115,105.50 × 115,105.50
  4. Step 4: Simplify right side
    74,253x = 13,249,276,130.25
  5. Step 5: Solve for x
    x = 13,249,276,130.25/74,253
  6. Step 6: Final answer
    x = 178,434.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.