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Finding the Third Proportional to 78,416.44 and 114,890.06

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Solution

The third proportional to 78,416.44 and 114,890.06 is: 168,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,416.44 : 114,890.06 = 114,890.06 : x
  2. Step 2: Convert to fraction form
    78,416.44/114,890.06 = 114,890.06/x
  3. Step 3: Cross multiply
    78,416.44x = 114,890.06 × 114,890.06
  4. Step 4: Simplify right side
    78,416.44x = 13,199,726,461.25
  5. Step 5: Solve for x
    x = 13,199,726,461.25/78,416.44
  6. Step 6: Final answer
    x = 168,328.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.