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Finding the Third Proportional to 46,163 and 72,312.50

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Solution

The third proportional to 46,163 and 72,312.50 is: 113,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,163 : 72,312.50 = 72,312.50 : x
  2. Step 2: Convert to fraction form
    46,163/72,312.50 = 72,312.50/x
  3. Step 3: Cross multiply
    46,163x = 72,312.50 × 72,312.50
  4. Step 4: Simplify right side
    46,163x = 5,229,097,656.25
  5. Step 5: Solve for x
    x = 5,229,097,656.25/46,163
  6. Step 6: Final answer
    x = 113,274.65

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.