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Finding the Third Proportional to 113,088 and 248,532

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Solution

The third proportional to 113,088 and 248,532 is: 546,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,088 : 248,532 = 248,532 : x
  2. Step 2: Convert to fraction form
    113,088/248,532 = 248,532/x
  3. Step 3: Cross multiply
    113,088x = 248,532 × 248,532
  4. Step 4: Simplify right side
    113,088x = 61,768,155,024
  5. Step 5: Solve for x
    x = 61,768,155,024/113,088
  6. Step 6: Final answer
    x = 546,195.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.