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Finding the Third Proportional to 30,258 and 64,156.50

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Solution

The third proportional to 30,258 and 64,156.50 is: 136,032.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258 : 64,156.50 = 64,156.50 : x
  2. Step 2: Convert to fraction form
    30,258/64,156.50 = 64,156.50/x
  3. Step 3: Cross multiply
    30,258x = 64,156.50 × 64,156.50
  4. Step 4: Simplify right side
    30,258x = 4,116,056,492.25
  5. Step 5: Solve for x
    x = 4,116,056,492.25/30,258
  6. Step 6: Final answer
    x = 136,032.01

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Why These Related Problems?

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