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Finding the Third Proportional to 58,296.38 and 120,973.50

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Solution

The third proportional to 58,296.38 and 120,973.50 is: 251,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,296.38 : 120,973.50 = 120,973.50 : x
  2. Step 2: Convert to fraction form
    58,296.38/120,973.50 = 120,973.50/x
  3. Step 3: Cross multiply
    58,296.38x = 120,973.50 × 120,973.50
  4. Step 4: Simplify right side
    58,296.38x = 14,634,587,702.25
  5. Step 5: Solve for x
    x = 14,634,587,702.25/58,296.38
  6. Step 6: Final answer
    x = 251,037.70

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.