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Finding the Third Proportional to 93,915 and 121,918.50

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Solution

The third proportional to 93,915 and 121,918.50 is: 158,272.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,915 : 121,918.50 = 121,918.50 : x
  2. Step 2: Convert to fraction form
    93,915/121,918.50 = 121,918.50/x
  3. Step 3: Cross multiply
    93,915x = 121,918.50 × 121,918.50
  4. Step 4: Simplify right side
    93,915x = 14,864,120,642.25
  5. Step 5: Solve for x
    x = 14,864,120,642.25/93,915
  6. Step 6: Final answer
    x = 158,272.06

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.