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Finding the Third Proportional to 93,567 and 146,887.50

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Solution

The third proportional to 93,567 and 146,887.50 is: 230,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,567 : 146,887.50 = 146,887.50 : x
  2. Step 2: Convert to fraction form
    93,567/146,887.50 = 146,887.50/x
  3. Step 3: Cross multiply
    93,567x = 146,887.50 × 146,887.50
  4. Step 4: Simplify right side
    93,567x = 21,575,937,656.25
  5. Step 5: Solve for x
    x = 21,575,937,656.25/93,567
  6. Step 6: Final answer
    x = 230,593.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.