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Finding the Third Proportional to 113,028 and 153,508.50

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Solution

The third proportional to 113,028 and 153,508.50 is: 208,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,028 : 153,508.50 = 153,508.50 : x
  2. Step 2: Convert to fraction form
    113,028/153,508.50 = 153,508.50/x
  3. Step 3: Cross multiply
    113,028x = 153,508.50 × 153,508.50
  4. Step 4: Simplify right side
    113,028x = 23,564,859,572.25
  5. Step 5: Solve for x
    x = 23,564,859,572.25/113,028
  6. Step 6: Final answer
    x = 208,486.92

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.