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Finding the Third Proportional to 61,008 and 97,411.50

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Solution

The third proportional to 61,008 and 97,411.50 is: 155,536.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,008 : 97,411.50 = 97,411.50 : x
  2. Step 2: Convert to fraction form
    61,008/97,411.50 = 97,411.50/x
  3. Step 3: Cross multiply
    61,008x = 97,411.50 × 97,411.50
  4. Step 4: Simplify right side
    61,008x = 9,489,000,332.25
  5. Step 5: Solve for x
    x = 9,489,000,332.25/61,008
  6. Step 6: Final answer
    x = 155,536.98

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.