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Finding the Third Proportional to 113,076 and 245,821.50

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Solution

The third proportional to 113,076 and 245,821.50 is: 534,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,076 : 245,821.50 = 245,821.50 : x
  2. Step 2: Convert to fraction form
    113,076/245,821.50 = 245,821.50/x
  3. Step 3: Cross multiply
    113,076x = 245,821.50 × 245,821.50
  4. Step 4: Simplify right side
    113,076x = 60,428,209,862.25
  5. Step 5: Solve for x
    x = 60,428,209,862.25/113,076
  6. Step 6: Final answer
    x = 534,403.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.