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Finding the Third Proportional to 75,153 and 117,032.25

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Solution

The third proportional to 75,153 and 117,032.25 is: 182,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,153 : 117,032.25 = 117,032.25 : x
  2. Step 2: Convert to fraction form
    75,153/117,032.25 = 117,032.25/x
  3. Step 3: Cross multiply
    75,153x = 117,032.25 × 117,032.25
  4. Step 4: Simplify right side
    75,153x = 13,696,547,540.06
  5. Step 5: Solve for x
    x = 13,696,547,540.06/75,153
  6. Step 6: Final answer
    x = 182,248.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.