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Finding the Third Proportional to 117,169 and 249,059

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Solution

The third proportional to 117,169 and 249,059 is: 529,409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,169 : 249,059 = 249,059 : x
  2. Step 2: Convert to fraction form
    117,169/249,059 = 249,059/x
  3. Step 3: Cross multiply
    117,169x = 249,059 × 249,059
  4. Step 4: Simplify right side
    117,169x = 62,030,385,481
  5. Step 5: Solve for x
    x = 62,030,385,481/117,169
  6. Step 6: Final answer
    x = 529,409.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.