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Finding the Third Proportional to 93,830 and 141,550

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Solution

The third proportional to 93,830 and 141,550 is: 213,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,830 : 141,550 = 141,550 : x
  2. Step 2: Convert to fraction form
    93,830/141,550 = 141,550/x
  3. Step 3: Cross multiply
    93,830x = 141,550 × 141,550
  4. Step 4: Simplify right side
    93,830x = 20,036,402,500
  5. Step 5: Solve for x
    x = 20,036,402,500/93,830
  6. Step 6: Final answer
    x = 213,539.41

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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.