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Finding the Third Proportional to 93,534 and 136,985

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Solution

The third proportional to 93,534 and 136,985 is: 200,621.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,534 : 136,985 = 136,985 : x
  2. Step 2: Convert to fraction form
    93,534/136,985 = 136,985/x
  3. Step 3: Cross multiply
    93,534x = 136,985 × 136,985
  4. Step 4: Simplify right side
    93,534x = 18,764,890,225
  5. Step 5: Solve for x
    x = 18,764,890,225/93,534
  6. Step 6: Final answer
    x = 200,621.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.