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Finding the Third Proportional to 75,346 and 116,740

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Solution

The third proportional to 75,346 and 116,740 is: 180,875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,346 : 116,740 = 116,740 : x
  2. Step 2: Convert to fraction form
    75,346/116,740 = 116,740/x
  3. Step 3: Cross multiply
    75,346x = 116,740 × 116,740
  4. Step 4: Simplify right side
    75,346x = 13,628,227,600
  5. Step 5: Solve for x
    x = 13,628,227,600/75,346
  6. Step 6: Final answer
    x = 180,875.26

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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.