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Finding the Third Proportional to 114,705 and 252,090

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Solution

The third proportional to 114,705 and 252,090 is: 554,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,705 : 252,090 = 252,090 : x
  2. Step 2: Convert to fraction form
    114,705/252,090 = 252,090/x
  3. Step 3: Cross multiply
    114,705x = 252,090 × 252,090
  4. Step 4: Simplify right side
    114,705x = 63,549,368,100
  5. Step 5: Solve for x
    x = 63,549,368,100/114,705
  6. Step 6: Final answer
    x = 554,024.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.