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Finding the Third Proportional to 93,970.13 and 145,729.13

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Solution

The third proportional to 93,970.13 and 145,729.13 is: 225,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,970.13 : 145,729.13 = 145,729.13 : x
  2. Step 2: Convert to fraction form
    93,970.13/145,729.13 = 145,729.13/x
  3. Step 3: Cross multiply
    93,970.13x = 145,729.13 × 145,729.13
  4. Step 4: Simplify right side
    93,970.13x = 21,236,977,873.27
  5. Step 5: Solve for x
    x = 21,236,977,873.27/93,970.13
  6. Step 6: Final answer
    x = 225,997.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.