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Finding the Third Proportional to 64,492.50 and 97,712.44

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Solution

The third proportional to 64,492.50 and 97,712.44 is: 148,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,492.50 : 97,712.44 = 97,712.44 : x
  2. Step 2: Convert to fraction form
    64,492.50/97,712.44 = 97,712.44/x
  3. Step 3: Cross multiply
    64,492.50x = 97,712.44 × 97,712.44
  4. Step 4: Simplify right side
    64,492.50x = 9,547,720,442.19
  5. Step 5: Solve for x
    x = 9,547,720,442.19/64,492.50
  6. Step 6: Final answer
    x = 148,043.89

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.