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Finding the Third Proportional to 113,992 and 249,852

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Solution

The third proportional to 113,992 and 249,852 is: 547,635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,992 : 249,852 = 249,852 : x
  2. Step 2: Convert to fraction form
    113,992/249,852 = 249,852/x
  3. Step 3: Cross multiply
    113,992x = 249,852 × 249,852
  4. Step 4: Simplify right side
    113,992x = 62,426,021,904
  5. Step 5: Solve for x
    x = 62,426,021,904/113,992
  6. Step 6: Final answer
    x = 547,635.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.