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Finding the Third Proportional to 78,772.50 and 116,922

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Solution

The third proportional to 78,772.50 and 116,922 is: 173,547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,772.50 : 116,922 = 116,922 : x
  2. Step 2: Convert to fraction form
    78,772.50/116,922 = 116,922/x
  3. Step 3: Cross multiply
    78,772.50x = 116,922 × 116,922
  4. Step 4: Simplify right side
    78,772.50x = 13,670,754,084
  5. Step 5: Solve for x
    x = 13,670,754,084/78,772.50
  6. Step 6: Final answer
    x = 173,547.29

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.