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Finding the Third Proportional to 97,069 and 152,303

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Solution

The third proportional to 97,069 and 152,303 is: 238,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,069 : 152,303 = 152,303 : x
  2. Step 2: Convert to fraction form
    97,069/152,303 = 152,303/x
  3. Step 3: Cross multiply
    97,069x = 152,303 × 152,303
  4. Step 4: Simplify right side
    97,069x = 23,196,203,809
  5. Step 5: Solve for x
    x = 23,196,203,809/97,069
  6. Step 6: Final answer
    x = 238,966.14

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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.