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Finding the Third Proportional to 97,503.75 and 150,457.50

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Solution

The third proportional to 97,503.75 and 150,457.50 is: 232,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,503.75 : 150,457.50 = 150,457.50 : x
  2. Step 2: Convert to fraction form
    97,503.75/150,457.50 = 150,457.50/x
  3. Step 3: Cross multiply
    97,503.75x = 150,457.50 × 150,457.50
  4. Step 4: Simplify right side
    97,503.75x = 22,637,459,306.25
  5. Step 5: Solve for x
    x = 22,637,459,306.25/97,503.75
  6. Step 6: Final answer
    x = 232,170.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.