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Finding the Third Proportional to 93,347 and 141,968

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Solution

The third proportional to 93,347 and 141,968 is: 215,913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,347 : 141,968 = 141,968 : x
  2. Step 2: Convert to fraction form
    93,347/141,968 = 141,968/x
  3. Step 3: Cross multiply
    93,347x = 141,968 × 141,968
  4. Step 4: Simplify right side
    93,347x = 20,154,913,024
  5. Step 5: Solve for x
    x = 20,154,913,024/93,347
  6. Step 6: Final answer
    x = 215,913.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.