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Finding the Third Proportional to 107,076 and 228,968

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Solution

The third proportional to 107,076 and 228,968 is: 489,618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,076 : 228,968 = 228,968 : x
  2. Step 2: Convert to fraction form
    107,076/228,968 = 228,968/x
  3. Step 3: Cross multiply
    107,076x = 228,968 × 228,968
  4. Step 4: Simplify right side
    107,076x = 52,426,345,024
  5. Step 5: Solve for x
    x = 52,426,345,024/107,076
  6. Step 6: Final answer
    x = 489,618.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.