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Finding the Third Proportional to 42,070.50 and 89,335

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Solution

The third proportional to 42,070.50 and 89,335 is: 189,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,070.50 : 89,335 = 89,335 : x
  2. Step 2: Convert to fraction form
    42,070.50/89,335 = 89,335/x
  3. Step 3: Cross multiply
    42,070.50x = 89,335 × 89,335
  4. Step 4: Simplify right side
    42,070.50x = 7,980,742,225
  5. Step 5: Solve for x
    x = 7,980,742,225/42,070.50
  6. Step 6: Final answer
    x = 189,699.25

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.