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Finding the Third Proportional to 64,925.50 and 97,130

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Solution

The third proportional to 64,925.50 and 97,130 is: 145,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,925.50 : 97,130 = 97,130 : x
  2. Step 2: Convert to fraction form
    64,925.50/97,130 = 97,130/x
  3. Step 3: Cross multiply
    64,925.50x = 97,130 × 97,130
  4. Step 4: Simplify right side
    64,925.50x = 9,434,236,900
  5. Step 5: Solve for x
    x = 9,434,236,900/64,925.50
  6. Step 6: Final answer
    x = 145,308.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.