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Finding the Third Proportional to 114,748 and 168,360

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Solution

The third proportional to 114,748 and 168,360 is: 247,020.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,748 : 168,360 = 168,360 : x
  2. Step 2: Convert to fraction form
    114,748/168,360 = 168,360/x
  3. Step 3: Cross multiply
    114,748x = 168,360 × 168,360
  4. Step 4: Simplify right side
    114,748x = 28,345,089,600
  5. Step 5: Solve for x
    x = 28,345,089,600/114,748
  6. Step 6: Final answer
    x = 247,020.34

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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.