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Finding the Third Proportional to 113,076 and 243,954

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Solution

The third proportional to 113,076 and 243,954 is: 526,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,076 : 243,954 = 243,954 : x
  2. Step 2: Convert to fraction form
    113,076/243,954 = 243,954/x
  3. Step 3: Cross multiply
    113,076x = 243,954 × 243,954
  4. Step 4: Simplify right side
    113,076x = 59,513,554,116
  5. Step 5: Solve for x
    x = 59,513,554,116/113,076
  6. Step 6: Final answer
    x = 526,314.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.