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Finding the Third Proportional to 46,323 and 90,342

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Solution

The third proportional to 46,323 and 90,342 is: 176,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,323 : 90,342 = 90,342 : x
  2. Step 2: Convert to fraction form
    46,323/90,342 = 90,342/x
  3. Step 3: Cross multiply
    46,323x = 90,342 × 90,342
  4. Step 4: Simplify right side
    46,323x = 8,161,676,964
  5. Step 5: Solve for x
    x = 8,161,676,964/46,323
  6. Step 6: Final answer
    x = 176,190.60

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.