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Finding the Third Proportional to 97,420 and 152,281.50

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Solution

The third proportional to 97,420 and 152,281.50 is: 238,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,420 : 152,281.50 = 152,281.50 : x
  2. Step 2: Convert to fraction form
    97,420/152,281.50 = 152,281.50/x
  3. Step 3: Cross multiply
    97,420x = 152,281.50 × 152,281.50
  4. Step 4: Simplify right side
    97,420x = 23,189,655,242.25
  5. Step 5: Solve for x
    x = 23,189,655,242.25/97,420
  6. Step 6: Final answer
    x = 238,037.93

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.