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Finding the Third Proportional to 93,985.50 and 145,749.75

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Solution

The third proportional to 93,985.50 and 145,749.75 is: 226,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,985.50 : 145,749.75 = 145,749.75 : x
  2. Step 2: Convert to fraction form
    93,985.50/145,749.75 = 145,749.75/x
  3. Step 3: Cross multiply
    93,985.50x = 145,749.75 × 145,749.75
  4. Step 4: Simplify right side
    93,985.50x = 21,242,989,625.06
  5. Step 5: Solve for x
    x = 21,242,989,625.06/93,985.50
  6. Step 6: Final answer
    x = 226,024.12

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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.