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Finding the Third Proportional to 114,684.19 and 168,647.06

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Solution

The third proportional to 114,684.19 and 168,647.06 is: 248,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,684.19 : 168,647.06 = 168,647.06 : x
  2. Step 2: Convert to fraction form
    114,684.19/168,647.06 = 168,647.06/x
  3. Step 3: Cross multiply
    114,684.19x = 168,647.06 × 168,647.06
  4. Step 4: Simplify right side
    114,684.19x = 28,441,831,689.88
  5. Step 5: Solve for x
    x = 28,441,831,689.88/114,684.19
  6. Step 6: Final answer
    x = 248,001.34

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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.