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Finding the Third Proportional to 114,773 and 249,876

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Solution

The third proportional to 114,773 and 249,876 is: 544,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,773 : 249,876 = 249,876 : x
  2. Step 2: Convert to fraction form
    114,773/249,876 = 249,876/x
  3. Step 3: Cross multiply
    114,773x = 249,876 × 249,876
  4. Step 4: Simplify right side
    114,773x = 62,438,015,376
  5. Step 5: Solve for x
    x = 62,438,015,376/114,773
  6. Step 6: Final answer
    x = 544,013.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.