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Finding the Third Proportional to 63,412.88 and 97,159.50

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Solution

The third proportional to 63,412.88 and 97,159.50 is: 148,865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,412.88 : 97,159.50 = 97,159.50 : x
  2. Step 2: Convert to fraction form
    63,412.88/97,159.50 = 97,159.50/x
  3. Step 3: Cross multiply
    63,412.88x = 97,159.50 × 97,159.50
  4. Step 4: Simplify right side
    63,412.88x = 9,439,968,440.25
  5. Step 5: Solve for x
    x = 9,439,968,440.25/63,412.88
  6. Step 6: Final answer
    x = 148,865.17

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.