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Finding the Third Proportional to 93,904.13 and 145,412.63

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Solution

The third proportional to 93,904.13 and 145,412.63 is: 225,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,904.13 : 145,412.63 = 145,412.63 : x
  2. Step 2: Convert to fraction form
    93,904.13/145,412.63 = 145,412.63/x
  3. Step 3: Cross multiply
    93,904.13x = 145,412.63 × 145,412.63
  4. Step 4: Simplify right side
    93,904.13x = 21,144,831,509.39
  5. Step 5: Solve for x
    x = 21,144,831,509.39/93,904.13
  6. Step 6: Final answer
    x = 225,174.68

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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.