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Finding the Third Proportional to 93,240 and 147,714

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Solution

The third proportional to 93,240 and 147,714 is: 234,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,240 : 147,714 = 147,714 : x
  2. Step 2: Convert to fraction form
    93,240/147,714 = 147,714/x
  3. Step 3: Cross multiply
    93,240x = 147,714 × 147,714
  4. Step 4: Simplify right side
    93,240x = 21,819,425,796
  5. Step 5: Solve for x
    x = 21,819,425,796/93,240
  6. Step 6: Final answer
    x = 234,013.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.