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Finding the Third Proportional to 77,417.50 and 113,139

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Solution

The third proportional to 77,417.50 and 113,139 is: 165,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,417.50 : 113,139 = 113,139 : x
  2. Step 2: Convert to fraction form
    77,417.50/113,139 = 113,139/x
  3. Step 3: Cross multiply
    77,417.50x = 113,139 × 113,139
  4. Step 4: Simplify right side
    77,417.50x = 12,800,433,321
  5. Step 5: Solve for x
    x = 12,800,433,321/77,417.50
  6. Step 6: Final answer
    x = 165,342.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.