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Finding the Third Proportional to 75,768 and 118,858.50

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Solution

The third proportional to 75,768 and 118,858.50 is: 186,455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,768 : 118,858.50 = 118,858.50 : x
  2. Step 2: Convert to fraction form
    75,768/118,858.50 = 118,858.50/x
  3. Step 3: Cross multiply
    75,768x = 118,858.50 × 118,858.50
  4. Step 4: Simplify right side
    75,768x = 14,127,343,022.25
  5. Step 5: Solve for x
    x = 14,127,343,022.25/75,768
  6. Step 6: Final answer
    x = 186,455.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.