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Finding the Third Proportional to 46,148 and 72,297

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Solution

The third proportional to 46,148 and 72,297 is: 113,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,148 : 72,297 = 72,297 : x
  2. Step 2: Convert to fraction form
    46,148/72,297 = 72,297/x
  3. Step 3: Cross multiply
    46,148x = 72,297 × 72,297
  4. Step 4: Simplify right side
    46,148x = 5,226,856,209
  5. Step 5: Solve for x
    x = 5,226,856,209/46,148
  6. Step 6: Final answer
    x = 113,262.90

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Why These Related Problems?

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