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Finding the Third Proportional to 65,054 and 88,365

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Solution

The third proportional to 65,054 and 88,365 is: 120,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,054 : 88,365 = 88,365 : x
  2. Step 2: Convert to fraction form
    65,054/88,365 = 88,365/x
  3. Step 3: Cross multiply
    65,054x = 88,365 × 88,365
  4. Step 4: Simplify right side
    65,054x = 7,808,373,225
  5. Step 5: Solve for x
    x = 7,808,373,225/65,054
  6. Step 6: Final answer
    x = 120,029.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.