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Finding the Third Proportional to 93,026 and 148,515

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Solution

The third proportional to 93,026 and 148,515 is: 237,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,026 : 148,515 = 148,515 : x
  2. Step 2: Convert to fraction form
    93,026/148,515 = 148,515/x
  3. Step 3: Cross multiply
    93,026x = 148,515 × 148,515
  4. Step 4: Simplify right side
    93,026x = 22,056,705,225
  5. Step 5: Solve for x
    x = 22,056,705,225/93,026
  6. Step 6: Final answer
    x = 237,102.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.