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Finding the Third Proportional to 61,339.50 and 92,316

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Solution

The third proportional to 61,339.50 and 92,316 is: 138,935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,339.50 : 92,316 = 92,316 : x
  2. Step 2: Convert to fraction form
    61,339.50/92,316 = 92,316/x
  3. Step 3: Cross multiply
    61,339.50x = 92,316 × 92,316
  4. Step 4: Simplify right side
    61,339.50x = 8,522,243,856
  5. Step 5: Solve for x
    x = 8,522,243,856/61,339.50
  6. Step 6: Final answer
    x = 138,935.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.